Orbital Analysis for matched events on 20210810_233735.122_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 56.50° Bg 34.06° Vg 60.71km/s
mass 0.04932g, abs. mag -1.2
Path Details
------------
start -4.08° 53.49° 105.75km
end   -4.25° 53.41° 93.95km

Orbit Details
-------------
Semimajor axis 6.76A.U., eccentricity 0.85, inclination 120.94°, Period 17.59Y, LA Sun 138.25°, last Perihelion 2021-07-26

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459437.484434284270
Time: 2021-08-10 23:37:35.122161 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0027
 Convergence angle = 11.78193 deg
 R.A. =  42.31206  Dec = +52.39350 deg

Best intersection: Stations UK001L and UK0027 with Qconv = 11.78 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2484019.34 +/- 665.44 m
 Y =  -2962487.86 +/- 234.08 m
 Z =   5188073.27 +/- 664.06 m
 Vx =    28056.47 +/- 4342.83 m/s
 Vy =    25060.75 +/- 2053.97 m/s
 Vz =    48922.96 +/- 3701.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.757895e+05, +8.737855e+04, -2.592213e+05, +6.082997e+05, +2.257573e+05, -6.740243e+05
+8.737855e+04, +4.113248e+04, -8.518229e+04, +1.591012e+05, +1.124529e+05, -2.195354e+05
-2.592213e+05, -8.518229e+04, +2.692707e+05, -6.817352e+05, -2.765937e+05, +7.510146e+05
+6.082997e+05, +1.591012e+05, -6.817352e+05, +5.193213e+06, +1.634204e+06, -3.902212e+06
+2.257573e+05, +1.124529e+05, -2.765937e+05, +1.634204e+06, +7.989955e+05, -1.342028e+06
-6.740243e+05, -2.195354e+05, +7.510146e+05, -3.902212e+06, -1.342028e+06, +3.546072e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK0027: 0.000414 s

Reference point on the trajectory:
  Time: 2021-08-10 23:37:35.122161 UTC
  Lon     = +-4.080292 +/- 0.0096 deg
  Lat     = +53.488138 +/- 0.0054 deg
  Lat geo = +53.306931 +/- 0.0054 deg
  Ht      =  105728.23 +/- 387.91 m

  JD dynamic   = 2459437.485235025175 
  LST apparent = 309.9795293094 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.77204 +/- 2.8743 deg
  Dec       = +52.44157 +/- 3.9115 deg
  Azimuth   =  51.36459 +/- 5.1380 deg
  Elevation = +38.74097 +/- 1.4405 deg
  Vavg      =  60.32827 +/- 1.4590 km/s
  Vinit     =  61.71437 +/- 1.6640 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.75871 +/- 2.8743 deg
  Dec       = +52.23476 +/- 3.9115 deg
  Azimuth   =  51.57315 +/- 5.1380 deg
  Elevation = +38.61320 +/- 1.4405 deg
  Vavg      =  60.50044 +/- 1.4590 km/s
  Vinit     =  61.88654 +/- 1.6640 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.95596 +/- 2.8943 deg
  Dec    = +52.05895 +/- 3.9636 deg
  Vg     =  60.70794 +/- 1.6894 km/s
  Vinf   =  61.71437 +/- 1.6640 km/s
  Zc     =  51.37230 +/- 1.4370 deg
  Zg     =  51.82540 +/- 1.4645 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.50076 +/- 3.5535 deg
  Bg     = +34.06091 +/- 3.1947 deg
  Vh     =  40.24091 +/- 3.0856 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  67.01081 +/- 8.5225 deg
  Bh     = +57.66729 +/- 2.9552 deg
  Vh_x   =  -8.40567 +/- 3.2071 km/s
  Vh_y   = -19.81292 +/- 0.8528 km/s
  Vh_z   = -34.00183 +/- 3.5741 km/s
Orbit:
  La Sun = 138.253717 +/- -0.0000 deg
  a      =   6.764359 +/- 10.7171 AU
  e      =   0.854964 +/- 0.2978
  i      = 120.936355 +/- 4.3623 deg
  peri   = 158.495711 +/- 3.8876 deg
  node   = 138.251898 +/- 0.0004 deg
  Pi     = 296.747609 +/- 3.8873 deg
  q      =   0.981077 +/- 0.0164 AU
  f      =  21.499902 +/- 3.8878 deg
  M      =   0.891223 +/- nan deg
  Q      =  12.547642 +/- 21.4304 AU
  n      =   0.056023 +/- 0.2759 deg/day
  T      =  17.593030 +/- 377739686.7977 years
  Last perihelion JD = 2459421.576996 (2021-07-26 01:50:52.446395) +/- 2.3657 days
  Tj     =   0.161364 +/- 1.5953
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.308750e-02, -1.159803e-03, -1.621972e-01, +5.490440e-07, -5.450174e-03, -5.996014e-03
q   , -1.159803e-03, +1.804350e-04, +3.085232e-02, -6.358513e-08, +8.998376e-04, +7.026776e-04
Tp  , -1.621972e-01, +3.085232e-02, +5.791636e+00, -1.033489e-05, +1.614096e-01, +1.141291e-01
node, +5.490440e-07, -6.358513e-08, -1.033489e-05, +2.927252e-11, -3.157975e-07, -3.216115e-07
peri, -5.450174e-03, +8.998376e-04, +1.614096e-01, -3.157975e-07, +4.610122e-03, +3.484125e-03
i   , -5.996014e-03, +7.026776e-04, +1.141291e-01, -3.216115e-07, +3.484125e-03, +3.538361e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 3.516e-05 s
  Stddev    = 5.93e-03 s

Begin point on the trajectory:
  Lon =    -4.079994 +/- 0.0096 deg
  Lat =    53.488280 +/- 0.0053 deg
  Ht  = 105748.92 +/- 377.06 m
End point on the trajectory:
  Lon =    -4.251858 +/- 0.0078 deg
  Lat =    53.406717 +/- 0.0057 deg
  Ht  = 93945.62 +/- 370.22 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105748.92,    93945.62,          0.024303,     85.96,     82.42,              79.47, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_233726_652_0274944.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   101753.12,    93994.29,          0.028023,    116.32,     73.24,              64.32, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_233736_078_0295936.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK001L,       0,  0.000000, 2459437.484434284270, 198.61773,  43.30351,              314.71236,  20.85006,       314.69752,       20.86723,    198.61773,     +43.30351,     198.64716,      +43.30885,  2484034.37, -2962474.44,  5188099.47,      53.488280,       -4.079994,  105748.92,  281681.35,       0.00,               33.06,   795.26,      0.00,           60106.28,    -75.02,    -78.40,          79.46,  +4.24,  +1.99
  1,     UK001L,       0,  0.040160, 2459437.484434749000, 198.79990,  42.90124,              314.33964,  20.60923,       314.34613,       20.60175,    198.79990,     +42.90124,     198.78729,      +42.89892,  2483085.89, -2963321.64,  5186445.58,      53.479297,       -4.098999,  104443.47,  281413.28,    2086.31,             2053.26,   337.02,  51950.00,           60106.28,     32.75,     34.19,          34.70,  +2.85,  +0.60
  2,     UK001L,       0,  0.160744, 2459437.484436144587, 199.31248,  41.53119,              313.13779,  19.74403,       313.17321,       19.70353,    199.31248,     +41.53119,     199.24504,      +41.51889,  2479906.70, -2966161.38,  5180901.93,      53.449138,       -4.162644,  100070.63,  280623.97,    9079.41,             9046.36,  -111.65,  57993.60,           60106.28,    177.84,    185.38,         188.82,  +3.79,  +1.55
  3,     UK001L,       0,  0.201056, 2459437.484436611179, 199.44982,  40.89418,              312.64389,  19.29710,       312.64650,       19.29412,    199.44982,     +40.89418,     199.44569,      +40.89328,  2478471.15, -2967443.65,  5178398.71,      53.435496,       -4.191321,   98097.59,  280321.53,   12237.12,            12204.06,   558.23,  78331.65,           60106.28,     13.07,     13.65,          13.90,  +2.48,  +0.24
  4,     UK001L,       0,  0.281436, 2459437.484437541571, 199.73569,  40.02048,              311.90516,  18.72888,       311.91384,       18.71904,    199.73569,     +40.02048,     199.72057,      +40.01754,  2476469.64, -2969231.45,  5174908.61,      53.416449,       -4.231405,   95348.17,  279963.90,   16639.74,            16606.68,     0.25,  54772.60,           59871.75,     43.35,     45.25,          46.17,  +1.29,  -0.95
  5,     UK001L,       0,  0.321636, 2459437.484438006766, 199.86432,  39.57087,              311.53729,  18.42833,       311.54121,       18.42391,    199.86432,     +39.57087,     199.85837,      +39.56956,  2475448.12, -2970143.90,  5173127.36,      53.406717,       -4.251858,   93945.62,  279807.90,   18886.73,            18853.67,  -233.68,  55895.20,           59505.14,     19.50,     20.36,          20.78,  +1.41,  -0.82
  0,     UK0027,       0,  0.115327, 2459437.484435549937, 175.18994,  52.28075,              333.38401,  19.93385,       333.39800,       19.91460,    175.18994,     +52.28075,     175.15691,      +52.26963,  2481130.30, -2965068.42,  5183035.57,      53.460755,       -4.138128,  101753.12,  282606.12,       0.00,             6354.86,    -0.25,      0.00,           61760.21,     61.38,     97.23,          83.92,  +3.46,  +1.20
  1,     UK0027,       0,  0.155463, 2459437.484436014201, 175.61486,  51.76988,              332.88823,  19.59969,       332.89458,       19.59099,    175.61486,     +51.76988,     175.60044,      +51.76490,  2479755.02, -2966296.86,  5180637.43,      53.447697,       -4.165609,   99862.13,  281503.58,    3025.15,             9380.01,   547.94,  75372.52,           61760.21,     27.68,     43.87,          38.01,  +2.54,  +0.29
  2,     UK0027,       0,  0.195591, 2459437.484436478931, 175.75206,  51.45895,              332.65629,  19.36280,       332.61931,       19.41334,    175.75206,     +51.45895,     175.83993,      +51.48775,  2479007.84, -2966964.26,  5179334.56,      53.440598,       -4.180615,   98835.10,  280918.80,    4668.67,            11023.53,  -285.02,  40956.93,           61760.21,   -160.35,   -254.83,         221.07,  +2.59,  +0.35
  3,     UK0027,       0,  0.235679, 2459437.484436942730, 176.25705,  50.96558,              332.11783,  19.07132,       332.11014,       19.08178,    176.25705,     +50.96558,     176.27593,      +50.97148,  2477624.60, -2968199.80,  5176922.56,      53.427444,       -4.208253,   96934.49,  279854.27,    7711.31,            14066.17,   283.61,  75898.94,           61760.21,    -33.17,    -52.61,          45.84,  +1.18,  -1.05
  4,     UK0027,       0,  0.275767, 2459437.484437406994, 176.55596,  50.60974,              331.76612,  18.84396,       331.75989,       18.85243,    176.55596,     +50.60974,     176.57152,      +50.61448,  2476677.71, -2969045.59,  5175271.44,      53.418431,       -4.227224,   95633.90,  279144.06,    9794.14,            16149.00,  -107.56,  51956.54,           60520.25,    -26.82,    -42.52,          37.15,  +1.05,  -1.18
  5,     UK0027,       0,  0.315871, 2459437.484437870793, 176.93226,  50.15909,              331.32011,  18.55729,       331.31759,       18.56070,    176.93226,     +50.15909,     176.93934,      +50.16099,  2475483.57, -2970112.23,  5173189.17,      53.407055,       -4.251105,   93994.29,  278266.82,   12420.84,            18775.70,    44.14,  65497.13,           60876.62,    -10.79,    -17.10,          14.99,  +1.37,  -0.85

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.